Home / 8,223-12,438

Finding the Third Proportional to 8,223 and 12,438

Calculator

Solution

The third proportional to 8,223 and 12,438 is: 18,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223 : 12,438 = 12,438 : x
  2. Step 2: Convert to fraction form
    8,223/12,438 = 12,438/x
  3. Step 3: Cross multiply
    8,223x = 12,438 × 12,438
  4. Step 4: Simplify right side
    8,223x = 154,703,844
  5. Step 5: Solve for x
    x = 154,703,844/8,223
  6. Step 6: Final answer
    x = 18,813.55

Related Problems

Find third proportional to 4,111.50 and 6,219
Half scale
Find third proportional to 16,446 and 24,876
Double scale
Find third proportional to 8,225 and 12,441
Similar ratio
Find third proportional to 12,334.50 and 18,657
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.